Theorems · Theorem · group theory
AddSubgroup.relIndex_top_right
∀ {G : Type u_1} [inst : AddGroup G] (H : AddSubgroup G), H.relIndex ⊤ = H.index- Defined in
- Mathlib.GroupTheory.Index
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- AddGroupstatement and proof · cited by 4,410
- mul_oneproof · cited by 3,885
- AddSubgroupstatement and proof · cited by 3,232
- le_topproof · cited by 411
- AddSubgroup.indexstatement · cited by 104
- AddSubgroup.relIndexstatement and proof · cited by 67
- AddSubgroup.relIndex_mul_indexproof · cited by 12
- AddSubgroup.index_topproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- NumberField.absNorm_differentIdealproof · cited by 4
- AddSubgroup.index_iInf_ne_zeroproof · cited by 1
- AddSubgroup.index_inf_leproof · cited by 0
- AddSubgroup.index_inf_ne_zeroproof · cited by 0
- AddSubgroup.index_eq_zero_of_relIndex_eq_zeroproof · cited by 0
- AddSubgroup.index_iInf_leproof · cited by 0
- AddSubgroup.isFiniteRelIndex_top_iffproof · cited by 0